51916209315840 has 672 divisors, whose sum is σ = 186910234093440. Its totient is φ = 13318490161152.

The previous prime is 51916209315809. The next prime is 51916209315953. The reversal of 51916209315840 is 4851390261915.

51916209315840 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 6 + 20 + 9 + 31 + 584 + 0 = 666.

51916209315840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51916209315840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213910137 + ... + 1213952903.

Almost surely, 2^{51916209315840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51916209315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93455117046720).

51916209315840 is an abundant number, since it is smaller than the sum of its proper divisors (134994024777600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51916209315840 is a wasteful number, since it uses less digits than its factorization.

51916209315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42930 (or 42903 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 51916209315840 in words is "fifty-one trillion, nine hundred sixteen billion, two hundred nine million, three hundred fifteen thousand, eight hundred forty".